Answer:
The Number is -8.
Step-by-step explanation:
Let the number be x.
Now given:
A number decreased by twelve;
It means 12 is subtracted from the number.
Hence the equation can be framed as;
[tex]x-12[/tex]
Also given;
twice the opposite of ten
Opposite of 10 = -10
Twice the opposite of 10 means 2 is multiplied with opposite of 10.
Hence twice the opposite of ten = [tex]2\times-10=-20[/tex]
Now A number decreased by twelve is twice the opposite of ten
framing it in equation form we get;
[tex]x-12=-20[/tex]
Solving the above equation we get;
[tex]x=-20+12\\x=-8[/tex]
Hence the Number is -8.